1/4(x-10)^2-8=0

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Solution for 1/4(x-10)^2-8=0 equation: 


x in (-oo:+oo)

(1/4)*(x-10)^2-8 = 0

1/4*(x-10)^2-8 = 0

1/4*(x-10)^2-8 = 0

1/4*x^2-5*x+17 = 0

1/4*x^2-5*x+17 = 0

1/4*x^2-5*x+17 = 0

DELTA = (-5)^2-(1/4*4*17)

DELTA = 8

DELTA > 0

x = (8^(1/2)+5)/(1/4*2) or x = (5-8^(1/2))/(1/4*2)

x = 2*(2*2^(1/2)+5) or x = 2*(5-2*2^(1/2))

(x-2*(5-2*2^(1/2)))*(x-2*(2*2^(1/2)+5)) = 0

(x-2*(5-2*2^(1/2)))*(x-2*(2*2^(1/2)+5)) = 0

( x-2*(2*2^(1/2)+5) )

x-2*(2*2^(1/2)+5) = 0 // + -2*(2*2^(1/2)+5)

x = -(-2*(2*2^(1/2)+5))

x = 2*(2*2^(1/2)+5)

( x-2*(5-2*2^(1/2)) )

x-2*(5-2*2^(1/2)) = 0 // + -2*(5-2*2^(1/2))

x = -(-2*(5-2*2^(1/2)))

x = 2*(5-2*2^(1/2))

x in { 2*(2*2^(1/2)+5), 2*(5-2*2^(1/2)) }

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